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For a circle of radius 9 feet find the arc length 's' subtended by a central angle of 18 degrees?
The measure of the central angle divided by 360 degrees equals the arc length divided by the circumference. So 18 degrees/360 degrees=arc length/(9 feet*2pi). 1/20=arc length/18pi feet; arc length=9pi/10 feet. It's refreshing to answer a question that is written with grammatical accuracy!
Find the lenght of a chord that cuts off an arc of measure 60 degrees in a circle of radius 12?
The radial length equals the chord length at a central angle of 60 degrees.
How do you find the length of the arc of a circle with only the measurement of the central angle and the Circumference?
The entire circumference has a central angle of 360 degrees. The arc is a fraction of the circumference. The fraction is (central angle) divided by (360). So the arc length is: (circumference) x (central angle) / (360) .
What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
If this is a central angle, the 72/360 x (2xpix4) = 5.024
If the radius of a circle is doubled how is the length of the arc intercepted by a fixed central angle changed?
If the radius of a circle is tripled, how is the length of the arc intercepted by a fixed central angle changed?
What is the formula for calculating the length of a c delta chord in a circle?
The formula for calculating the length of a chord in a circle is (2rsin(frac2)), where r is the radius of the circle and is the central angle subtended by the chord.
What is the length of arc subtended by a central angle of 101.6 degrees in a circle with a diameter of 219 feet?
101.6 degrees = 1.7733 radians. So arc = radius*angle (in radians) = 219/2*1.7733 = 194.2 ft.
For a circle of radius 9 feet find the arc length 's' subtended by a central angle of 18 degrees?
The measure of the central angle divided by 360 degrees equals the arc length divided by the circumference. So 18 degrees/360 degrees=arc length/(9 feet*2pi). 1/20=arc length/18pi feet; arc length=9pi/10 feet. It's refreshing to answer a question that is written with grammatical accuracy!
How to find length of arc if radius and angle subtended at the center are given?
Full circumference of the circle = (2 pi) times (radius)Arc is a fraction of the full circumference.The fraction is (angle subtended at the center) divided by (360 degrees).If you have the radius 'R' and the angle 'A', the length of the arc is(pi) (R) (A) / 180
What is the angle subtended by an arc of a circle equal in length to the radius of that circle?
The answer does not match. It is called a Radianthat is used in Trigonometry, a special branch of mathematics which deals with study of triangles. "Tri" means three and "gono" means angle and "metry" means measure) . If there is an angle at the center of circle subtended by the arc whose length is equal to the radius, then the angle at the center is called 1 Radian.Extending the math out in order to determine the number of degrees in one radian, this is what we have. C = 2(pi)r; the length of the circumference is 2(pi) times the radius. This means that the number of radii in the circumference is 2(pi); there are 2(pi) radii in the circumference. There are 360 degrees in a circle, so the number of degrees in an angle subtended by an arc one radius long would be 360/2(pi), or about 57.3 degrees.
How do you find the length of a minor arc of a circle?
If the radius of the circle is r units and the angle subtended by the arc at the centre is x radians, then the length of the arc is r*x units. If you are still working with angles measured in degrees, then the answer is r*pi*y/180 where the angle is y degrees. If r and x (or y) are not available, or cannot be deduced, then you cannot find the length of the arc.
How do you find radius of a circle if given arc length?
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
What is the relationship between angular measurements in radians and degrees in physics?
In physics, angular measurements can be expressed in both radians and degrees. Radians are the preferred unit for angular measurements because they directly relate to the arc length of a circle's circumference. One radian is equal to the angle subtended by an arc that is equal in length to the radius of the circle. In contrast, degrees are based on dividing a circle into 360 equal parts. The relationship between radians and degrees is that 1 radian is equal to approximately 57.3 degrees.
How do you find radius when arc length is given?
Let us recall the formula for the circumference of a circle. That one is 2pi r. r is the radius of the circle and 2pi is the angle in radian measure subtended by the entire circle at the centre. If this is so, then any arc length 'l' will be equal to the product of the angle in radian measure subtended by the arc at the centre and the radius.So l = theta r. Say theta is the angle subtended by the arc at the centre.Therefrom, r = l / Theta.
When a triangle with one side length the diameter of a circle is inscribed in that circle does it have to be a right triangle?
Yes. It follows from one of the circle theorems which states that the angle subtended in a semicircle is a right angle.
What is the central angle of a circle with a circumference of 9 and arc length of 1?
2pi/9 radians or 40 degrees
What is the name for 90 degrees in the circle?
If an arc of a circle is drawn so that the length of the arc is equal to the radius of the circle then the angle at the centre of the circle subtended by the arc is called one radian.Then the angle subtended by the entire circle is given by the ratio , circumference / radius = 2πr/r = 2π radians.2π radians is equivalent to 360°So, π radians = 180°and thus, π/2 radians = 90°Pi over two, or Pi divided by two radians is the name for 90° in a circle.
